Download Ms. Williams Chapter 10 Quiz Review Trigonometry Name Date Ms

Ms. Williams
Name
Chapter 10 Quiz Review
Trigonometry
Date
1. What is the number of degrees in an angle whose radian
measure is ?
A) 576
B) 288
C) 225
D) 113
2. Convert 3 radians to degrees and express the answer to
the nearest minute.
3. Find, to the nearest tenth, the radian measure of .
4. What is the radian measure of the smaller angle formed
by the hands of a clock at 7 o'clock?
A)
B)
C)
D)
5. Find, to the nearest tenth of a degree, the angle whose measure is 2.5 radians.
6. What is the radian measure of an angle whose measure is
–420°?
A)
B)
9. A central angle of a circular garden measures 2.5 radians
and intercepts an arc of 20 feet. What is the radius of the
garden?
A) 8 ft
C)
B) 50 ft
C) 100 ft D) 125 ft
D)
10. The number of degrees equal to A) 45
7. The tip of a pendulum describes an arc 18 centimeters
long when the pendulum swings through an angle of of
a radian. Find the length, in centimeters, of the
pendulum.
B) 90
C) 100
radians is
D) 900
13. Express 450º in radian measure.
11. If placed in standard position, an angle of has the same terminal side as an angle
A)
C)
radians
B)
D)
8. What is the number of degrees in an angle whose radian
measure is ?
A) 150
Ms. Williams
B) 165
C) 330
D) 518
12. Express 315º in radian measure.
Page 1
White Plains High School
Chapter 10 Quiz Review
14. A circle is drawn to represent a pizza with a 12 inch
diameter. The circle is cut into eight congruent pieces.
What is the length of the outer edge of any one piece of
this circle?
A)
B)
C)
20. What is one possible value of in the equation cot = cos ?
A) 0°
B) 45°
C) 90°
D) 180°
D)
21. If the sine of an angle is and the angle is not in
Quadrant 1, what is the value of the cosine of the angle?
15. In circle O, a central angle of 2 radians intercepts an arc
of 28 meters. Find the length, in meters, of the radius of
the circle.
22. The value of A)
B)
is
C)
D)
16. In the right triangle shown below, what is the measure
of angle S, to the nearest minute?
23. Which expression is not equivalent to sin 150°?
A) sin 30°
C) cos 60°
A) 28°1'
C) 61°56'
B) 28°4'
D) 61°93'
24. If 17. The value of csc 138°23' rounded to four decimal
places is
A) –1.3376
C) 1.5012
B) –sin 210°
D) –cos 60°
, evaluate 25. If .
, evaluate .
B) –1.3408
D) 1.5057
26. If , evaluate f( ).
18. Which expression, when rounded to three decimal
places, is equal to –1.155?
27. If A)
, what is ?
B)
C)
28. The value of D)
A)
19. If A)
Ms. Williams
and B)
, what is C)
B)
is
C)
D)
?
D)
Page 2
White Plains High School
Chapter 10 Quiz Review
29. If , find the value of .
30. If A) 1
, then B) 2
C) –1
38. In the accompanying diagram of a unit circle, the
ordered pair (x,y) represents the point where the
terminal side of intersects the unit circle.
equals
D) 0
31. If terminates in Quadrant II and
.
, find If A) 1
32. The value of A)
B)
C)
D)
is
B)
33. If , what is the value of x?
C)
D)
39. In the accompanying diagram of a unit circle, the
ordered pair represents the point where the
terminal side of intersects the unit circle.
, find f( ).
34. If and A is in Quadrant I, what is the value
of sin A tan A?
A)
B)
C)
D)
35. If and is not a third–quadrant angle,
what is sin ?
36. If sin = and
(tan )(cos )?
A)
Ms. Williams
, what is the value of ?
A)
B)
C) -
D)
is in Quadrant I what is the value of
B)
C)
D)
40. The value of 37. What is cos 68° 20'?
A) 0.9315
C) 0.3638
If is
A)
B)
C)
D)
B) 0.9293
D) 0.3692
Page 3
White Plains High School
Chapter 10 Quiz Review
41. The value of A)
B)
42. Express defined.
is
C)
D)
as a single trigonometric function, in simplest form, for all values of x for which it is
43. Express cos (sec – cos ), in terms of sin .
50. The expression A)
B)
is equivalent to C)
D)
44. Starting with sin2 A + cos 2 A = 1, derive the formula tan2 A + 1 = sec 2 A.
51. The expression sin2x + cos 2x – b 2 is equivalent to
45. The expression cot • sec is equivalent to
A)
B)
C) csc D) sin A) 1
C) (1 + b)(1 – b)
46. The expression 1 – sec x is equivalent to
A) –tan x
B)
C)
D)
B) b 2
D) sin x cos x – b
52. The expression (tan )(csc ) is equivalent to
A) cos C) csc B) sec D) csc cot 47. The expression
is equivalent to
A)
B)
C)
D)
48. Base your answer to the following question on Express
in simplest terms: 49. The expression A)
Ms. Williams
B)
is equivalent to
C)
D)
Page 4
White Plains High School
Answer Key
Chapter 10 - Review
1.
B
36.
A
2.
171º53'
37.
D
3.
3.8
38.
C
4.
C
39.
A
5.
143.2
40.
A
6.
A
41.
B
42.
cos 2 x
7.
24
8.
B
43.
sin2 9.
A
44.
10.
C
11.
C
Appropriate work is
shown, such as
dividing each term by
cos 2 A.
12.
45.
C
13.
46.
B
47.
A
14.
15.
C
14
16.
B
17.
D
18.
A
19.
D
20.
C
21.
–0.8
22.
D
23.
D
48.
, and
appropriate work is
shown.
49.
D
50.
C
51.
C
52.
B
24.
25.
1
26.
–1
27.
–1
28.
29.
C
2
30.
A
31.
32.
33.
34.
A
2
A
35.
Ms. Williams
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White Plains High School